Given:
A quadrilateral inscribed in a circle.
To find:
The value of x and y.
Solution:
If a quadrilateral inscribed in a circle, then it is known as cyclic quadrilateral and the opposite angles of a cyclic quadrilateral are supplementary angles, it means their sum is 180 degrees.
[Supplementary angles]



The value of x is 14 degrees.
[Supplementary angles]



Therefore, the value of x is 14 degrees and the value of y is 38 degrees.
Answer:
Without tax the shoes would cost £55.9.
Step-by-step explanation:
To get this you take the £86 and multiply it by 0.65 because with the 35% sale you are paying for 65% of the item. You get this number by subtracting 35 from 100 and convert it into a decimal.
Answer:
The triangles SYX and SYZ are congrient so by CPCTC
,
and
.
Step-by-step explanation:
Given information: YS is the perpendicular bisector of XYZ.
In triangle YXS and triangle YSZ,
(YS is the perpendicular bisector of XYZ)
(Common side, Reflexive property)
(YS is the perpendicular bisector of XYZ)
By ASA postulate,

The corresponding parts of congruent triangles are congruent. so,



Answer:
ants can lift up to 10, 100, no, 1000 times their own weight right up over their heads. real research puts the number anywhere from 20 to 100 times, depending on the species of ant.